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Finding the Fourth Proportional to 24,137.50, 36,211.24 and 11,666.20

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Solution

The fourth proportional to 24,137.50, 36,211.24 and 11,666.20 is: 17,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.50 : 36,211.24 = 11,666.20 : x
  2. Step 2: Convert to fraction form
    24,137.50/36,211.24 = 11,666.20/x
  3. Step 3: Cross multiply
    24,137.50x = 36,211.24 × 11,666.20
  4. Step 4: Simplify right side
    24,137.50x = 422,447,568.09
  5. Step 5: Solve for x
    x = 422,447,568.09/24,137.50
  6. Step 6: Final answer
    x = 17,501.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.